x^2+4x-47=3x+9

Simple and best practice solution for x^2+4x-47=3x+9 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2+4x-47=3x+9 equation: 


Simplifying
x2 + 4x + -47 = 3x + 9

Reorder the terms:
-47 + 4x + x2 = 3x + 9

Reorder the terms:
-47 + 4x + x2 = 9 + 3x

Solving
-47 + 4x + x2 = 9 + 3x

Solving for variable 'x'.

Reorder the terms:
-47 + -9 + 4x + -3x + x2 = 9 + 3x + -9 + -3x

Combine like terms: -47 + -9 = -56
-56 + 4x + -3x + x2 = 9 + 3x + -9 + -3x

Combine like terms: 4x + -3x = 1x
-56 + 1x + x2 = 9 + 3x + -9 + -3x

Reorder the terms:
-56 + 1x + x2 = 9 + -9 + 3x + -3x

Combine like terms: 9 + -9 = 0
-56 + 1x + x2 = 0 + 3x + -3x
-56 + 1x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-56 + 1x + x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-8, 7}

See similar equations:

| x^2+9x+11=2x+1 | | 7x+6=4x+18 | | 4x+(2x-30)+(2x-30)=180 | | 2x-35=70 | | -8X-7Y=-15 | | ln(x-6)=1 | | 3x^2+2=-5x | | x^2+2x+9=6x+6 | | 6(2x+1)=3(3x-8) | | 2/5+3y=6y-1/5 | | -6x+1=55 | | 2x-35=x+70 | | 2x-35=x+70 | | 3/5+2/25= | | 3x+5=65-6x | | x^2-4x-1=4x+8 | | x+3v=w | | 6n+11=-7+3 | | x^2-75=10x | | x^2+8x+9=3x+3 | | 3(x-2)=5x+8-5 | | -3(x-2)=-12 | | 4-(-5p+3)=p-5 | | 12x^2=-300 | | 9n-6=56 | | 15x^3-5x^2+12x-4=0 | | -x^2-10x-16=0 | | (X-4)(5x+9)=0 | | -5-6x=-53 | | 10s+7=87 | | x^4-2x^3+x^2+x-1=0 | | 9-10x+x^2=0 |

Equations solver categories